Extensions 1→N→G→Q→1 with N=C₈.C₂² and Q=C₄

Direct product G=N×Q with N=C₈.C₂² and Q=C₄

		d	ρ	Label	ID
C₄×C₈.C₂²		64		C4xC8.C2^2	128,1677

Semidirect products G=N:Q with N=C₈.C₂² and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.C₂²⋊₁C₄ = M₄(2).₄₄D₄	φ: C₄/C₂ → C₂ ⊆ Out C₈.C₂²	32	4	C8.C2^2:1C4	128,613
C₈.C₂²⋊₂C₄ = C₈.C₂²⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₈.C₂²	32		C8.C2^2:2C4	128,614
C₈.C₂²⋊₃C₄ = C₄².₄₂₆D₄	φ: C₄/C₂ → C₂ ⊆ Out C₈.C₂²	16	4	C8.C2^2:3C4	128,638
C₈.C₂²⋊₄C₄ = M₄(2).₄₉D₄	φ: C₄/C₂ → C₂ ⊆ Out C₈.C₂²	64		C8.C2^2:4C4	128,640
C₈.C₂²⋊₅C₄ = C₄².₂₇₆C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₈.C₂²	64		C8.C2^2:5C4	128,1679
C₈.C₂²⋊₆C₄ = M₄(2).₅₁D₄	φ: C₄/C₂ → C₂ ⊆ Out C₈.C₂²	16	4	C8.C2^2:6C4	128,1688
C₈.C₂²⋊₇C₄ = C₄².₂₈₃C₂³	φ: trivial image	32	4	C8.C2^2:7C4	128,1687

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